login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A274195 Decimal expansion of limiting ratio described in Comments. 5
1, 2, 9, 8, 6, 4, 0, 6, 4, 0, 8, 6, 1, 7, 0, 4, 6, 4, 5, 6, 9, 3, 3, 4, 4, 1, 6, 1, 5, 8, 5, 2, 8, 1, 2, 2, 0, 4, 8, 5, 5, 3, 9, 7, 7, 9, 8, 6, 5, 3, 7, 4, 5, 6, 3, 3, 1, 4, 5, 5, 4, 9, 3, 9, 2, 7, 3, 5, 7, 5, 5, 6, 3, 1, 8, 8, 7, 7, 3, 1, 4, 3, 1, 1, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

As in A274193, define g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,3k) for n > 0, k > 1.  The sum of numbers in the n-th row of the array {g(n,k)} is given by A274194, and "limiting ratio" = limit of A274194(n)/A274194(n-1).

LINKS

Table of n, a(n) for n=1..86.

EXAMPLE

Limiting ratio = 1.2986406408617046456933441615...

MATHEMATICA

z = 1500; g[n_, 0] = g[n, 0] = 1;

g[n_, k_] := g[n, k] = If[k > n, 0, g[n - 1, k - 1] + g[n - 1, 3 k]];

t = Table[g[n, k], {n, 0, z}, {k, 0, n}];

w = Map[Total, t];   (* A274194 *)

u = N[w[[z]]/w[[z - 1]], 100]

RealDigits[u][[1]] (* A274195 *)

CROSSREFS

Cf. A274193, A274194, A274198, A274210 (reciprocal).

Sequence in context: A309211 A021339 A092971 * A021975 A192599 A021081

Adjacent sequences:  A274192 A274193 A274194 * A274196 A274197 A274198

KEYWORD

nonn,cons,easy

AUTHOR

Clark Kimberling, Jun 16 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 16 11:09 EDT 2020. Contains 335784 sequences. (Running on oeis4.)